XLPack 7.0
XLPack Numerical Library (C API) Reference Manual
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◆ zlanht()

double zlanht ( char  norm,
int  n,
double  d[],
doublecomplex  e[] 
)

One norm, Frobenius norm, infinity norm, or largest absolute value of any element of a Hermitian tridiagonal matrix

Purpose
This routine returns the value of the one norm, the Frobenius norm, the infinity norm, or the largest absolute value of any element of a Hermitian tridiagonal matrix A.
Returns
max(abs(Aij)) when norm = 'M',
norm1(A) when norm = '1' or 'O',
normI(A) when norm = 'I', or
normF(A) when norm = 'F' or 'E'

where norm1 denotes the one norm of a matrix (maximum column sum), normI denotes the infinity norm of a matrix (maximum row sum) and normF denotes the Frobenius norm of a matrix (square root of sum of squares).
Note that max(abs(Aij)) is not a consistent matrix norm.
Parameters
[in]normSpecifies the value to be returned by zlanht as described above. Note that normI(A) = norm1(A) since A is Hermitian.
[in]nOrder of the matrix A. (n >= 0) (If n = 0, returns 0)
[in]d[]Array d[ld] (ld >= n)
Diagonal elements of Hermitian tridiagonal matrix A.
[in]e[]Array e[le] (le >= n - 1)
Sub-diagonal or super-diagonal elements of Hermitian tridiagonal matrix A.
Reference
LAPACK